anonymous
  • anonymous
Let A be a 3x4 matrix. If b=a1+a2+a3+a4. what can you conclude about the number of solutions to the linear system Ax=b?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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blockcolder
  • blockcolder
What's a1, a2, a3, a4?
goformit100
  • goformit100
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amistre64
  • amistre64
a1 a2 a3 a4 are the column vectors of A

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amistre64
  • amistre64
since A is a 3row x 4col matrix, its going to have to have a zero determinant i believe
amistre64
  • amistre64
... but if could rref out to say: 1 0 0 0 s 0 1 0 0 t 0 0 1 0 r
blockcolder
  • blockcolder
But non-square matrices have no determinants. On the other hand, if b=a1+a2+a3+a4, then this means b lies in the column space of A.

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